Location: FCU_cardiacAP_Pan @ fb097ba802e0 / K_channel.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2022-02-15 13:09:01+13:00
Desc:
Fixing errors in code, from extraction of Pan cellml txt
Permanent Source URI:
https://models.physiomeproject.org/workspace/81b/rawfile/fb097ba802e02b61ff1ac1a9a58703c381675544/K_channel.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_K_only" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
    <units name="J_per_K_per_mol">
        <unit units="joule"/>
        <unit exponent="-1" units="kelvin"/>
        <unit exponent="-1" units="mole"/>
    </units>
    <units name="C_per_mol">
        <unit units="coulomb"/>
        <unit exponent="-1" units="mole"/>
    </units>
    <units name="fF">
        <unit prefix="femto" units="farad"/>
    </units>
    <units name="fmol">
        <unit prefix="femto" units="mole"/>
    </units>
    <units name="per_fmol">
        <unit exponent="-1" units="fmol"/>
    </units>
    <units name="fmol_per_sec">
        <unit units="fmol"/>
        <unit exponent="-1" units="second"/>
    </units>
    <units name="fC">
        <unit prefix="femto" units="coulomb"/>
    </units>
    <units name="fA">
        <unit prefix="femto" units="ampere"/>
    </units>
    <units name="J_per_mol">
        <unit units="joule"/>
        <unit exponent="-1" units="mole"/>
    </units>
    <component name="environment">
        <variable initial_value="0" name="t" public_interface="out" units="second"/>
        <variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
        <variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
        <variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
        <variable initial_value="153400" name="C_m" public_interface="out" units="fF"/>
        <variable initial_value="27.9828" name="x_Ke_init" units="fmol"/>
        <variable initial_value="5510" name="x_Ki_init" units="fmol"/>
        <variable initial_value="4.5648e-06" name="x_S00_K_init" units="fmol"/>
        <variable initial_value="1.1412e-06" name="x_S01_K_init" units="fmol"/>
        <variable initial_value="2.2824e-06" name="x_S10_K_init" units="fmol"/>
        <variable initial_value="5.706e-07" name="x_S11_K_init" units="fmol"/>
        <variable initial_value="2.853e-07" name="x_S20_K_init" units="fmol"/>
        <variable initial_value="7.1325e-08" name="x_S21_K_init" units="fmol"/>
        <variable name="x_Ki_mK" public_interface="in" units="fmol"/>
        <variable name="x_Ki" public_interface="out" units="fmol"/>
        <variable name="x_Ke_mK" public_interface="in" units="fmol"/>
        <variable name="x_Ke" public_interface="out" units="fmol"/>
        <variable name="x_S00_K_mK" public_interface="in" units="fmol"/>
        <variable name="x_S00_K" public_interface="out" units="fmol"/>
        <variable name="x_S01_K_mK" public_interface="in" units="fmol"/>
        <variable name="x_S01_K" public_interface="out" units="fmol"/>
        <variable name="x_S10_K_mK" public_interface="in" units="fmol"/>
        <variable name="x_S10_K" public_interface="out" units="fmol"/>
        <variable name="x_S11_K_mK" public_interface="in" units="fmol"/>
        <variable name="x_S11_K" public_interface="out" units="fmol"/>
        <variable name="x_S20_K_mK" public_interface="in" units="fmol"/>
        <variable name="x_S20_K" public_interface="out" units="fmol"/>
        <variable name="x_S21_K_mK" public_interface="in" units="fmol"/>
        <variable name="x_S21_K" public_interface="out" units="fmol"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>x_Ke</ci>
                <apply>
                    <plus/>
                    <ci>x_Ke_init</ci>
                    <ci>x_Ke_mK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_Ki</ci>
                <apply>
                    <plus/>
                    <ci>x_Ki_init</ci>
                    <ci>x_Ki_mK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_S00_K</ci>
                <apply>
                    <plus/>
                    <ci>x_S00_K_init</ci>
                    <ci>x_S00_K_mK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_S01_K</ci>
                <apply>
                    <plus/>
                    <ci>x_S01_K_init</ci>
                    <ci>x_S01_K_mK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_S10_K</ci>
                <apply>
                    <plus/>
                    <ci>x_S10_K_init</ci>
                    <ci>x_S10_K_mK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_S11_K</ci>
                <apply>
                    <plus/>
                    <ci>x_S11_K_init</ci>
                    <ci>x_S11_K_mK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_S20_K</ci>
                <apply>
                    <plus/>
                    <ci>x_S20_K_init</ci>
                    <ci>x_S20_K_mK</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_S21_K</ci>
                <apply>
                    <plus/>
                    <ci>x_S21_K_init</ci>
                    <ci>x_S21_K_mK</ci>
                </apply>
            </apply>
        </math>
        <variable initial_value="-13039" name="q_mem_init" units="fC"/>
        <variable name="q_mem_mK" public_interface="in" units="fC"/>
        <variable name="q_mem" public_interface="out" units="fC"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>q_mem</ci>
                <apply>
                    <plus/>
                    <ci>q_mem_init</ci>
                    <ci>q_mem_mK</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="K_parameters">
        <variable initial_value="128.6868" name="K_00_K" public_interface="out" units="per_fmol"/>
        <variable initial_value="22.3033" name="K_01_K" public_interface="out" units="per_fmol"/>
        <variable initial_value="16.5777" name="K_10_K" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.8732" name="K_11_K" public_interface="out" units="per_fmol"/>
        <variable initial_value="8.5423" name="K_20_K" public_interface="out" units="per_fmol"/>
        <variable initial_value="1.4805" name="K_21_K" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.059344" name="K_Ke" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0080926" name="K_Ki" public_interface="out" units="per_fmol"/>
        <variable initial_value="43947.9368" name="kappa_K" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.034684" name="kappa_X00" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.20012" name="kappa_X01" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.13462" name="kappa_X10" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.77675" name="kappa_X11" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="7.7389" name="kappa_i00" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="60.0742" name="kappa_i10" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="116.5836" name="kappa_i20" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.5" name="nK" public_interface="out" units="dimensionless"/>
        <variable initial_value="1" name="zK" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.51923" name="z_fX" public_interface="out" units="dimensionless"/>
        <variable initial_value="0" name="z_fXi" public_interface="out" units="dimensionless"/>
        <variable initial_value="-0.73169" name="z_rX" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.83216" name="z_rXi" public_interface="out" units="dimensionless"/>
    </component>
    <component name="K_channel">
        <variable name="t" public_interface="in" units="second"/>
        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="C_m" public_interface="in" units="fF"/>
        <variable name="K_00_K" public_interface="in" units="per_fmol"/>
        <variable name="K_01_K" public_interface="in" units="per_fmol"/>
        <variable name="K_10_K" public_interface="in" units="per_fmol"/>
        <variable name="K_11_K" public_interface="in" units="per_fmol"/>
        <variable name="K_20_K" public_interface="in" units="per_fmol"/>
        <variable name="K_21_K" public_interface="in" units="per_fmol"/>
        <variable name="K_Ke" public_interface="in" units="per_fmol"/>
        <variable name="K_Ki" public_interface="in" units="per_fmol"/>
        <variable name="kappa_K" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_X00" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_X01" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_X10" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_X11" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_i00" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_i10" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_i20" public_interface="in" units="fmol_per_sec"/>
        <variable name="nK" public_interface="in" units="dimensionless"/>
        <variable name="zK" public_interface="in" units="dimensionless"/>
        <variable name="z_fX" public_interface="in" units="dimensionless"/>
        <variable name="z_fXi" public_interface="in" units="dimensionless"/>
        <variable name="z_rX" public_interface="in" units="dimensionless"/>
        <variable name="z_rXi" public_interface="in" units="dimensionless"/>
        <variable name="x_Ke_global" public_interface="in" units="fmol"/>
        <variable name="x_Ki_global" public_interface="in" units="fmol"/>
        <variable name="x_S00_K_global" public_interface="in" units="fmol"/>
        <variable name="x_S01_K_global" public_interface="in" units="fmol"/>
        <variable name="x_S10_K_global" public_interface="in" units="fmol"/>
        <variable name="x_S11_K_global" public_interface="in" units="fmol"/>
        <variable name="x_S20_K_global" public_interface="in" units="fmol"/>
        <variable name="x_S21_K_global" public_interface="in" units="fmol"/>
        <variable initial_value="0" name="x_Ke" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="x_Ki" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="x_S00_K" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="x_S01_K" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="x_S10_K" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="x_S11_K" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="x_S20_K" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="x_S21_K" public_interface="out" units="fmol"/>
        <variable name="q_mem_global" public_interface="in" units="fC"/>
        <variable initial_value="0" name="q_mem" public_interface="out" units="fC"/>
        <variable name="mu_Ke" units="J_per_mol"/>
        <variable name="mu_Ki" units="J_per_mol"/>
        <variable name="mu_S00_K" units="J_per_mol"/>
        <variable name="mu_S01_K" units="J_per_mol"/>
        <variable name="mu_S10_K" units="J_per_mol"/>
        <variable name="mu_S11_K" units="J_per_mol"/>
        <variable name="mu_S20_K" units="J_per_mol"/>
        <variable name="mu_S21_K" units="J_per_mol"/>
        <variable name="v_Ke" units="fmol_per_sec"/>
        <variable name="v_Ki" units="fmol_per_sec"/>
        <variable name="v_S00_K" units="fmol_per_sec"/>
        <variable name="v_S01_K" units="fmol_per_sec"/>
        <variable name="v_S10_K" units="fmol_per_sec"/>
        <variable name="v_S11_K" units="fmol_per_sec"/>
        <variable name="v_S20_K" units="fmol_per_sec"/>
        <variable name="v_S21_K" units="fmol_per_sec"/>
        <variable name="Am_K" units="J_per_mol"/>
        <variable name="Af_K" units="J_per_mol"/>
        <variable name="Ar_K" units="J_per_mol"/>
        <variable name="v_K" units="fmol_per_sec"/>
        <variable name="Af_X00" units="J_per_mol"/>
        <variable name="Ar_X00" units="J_per_mol"/>
        <variable name="v_X00" units="fmol_per_sec"/>
        <variable name="Af_X01" units="J_per_mol"/>
        <variable name="Ar_X01" units="J_per_mol"/>
        <variable name="v_X01" units="fmol_per_sec"/>
        <variable name="Af_X10" units="J_per_mol"/>
        <variable name="Ar_X10" units="J_per_mol"/>
        <variable name="v_X10" units="fmol_per_sec"/>
        <variable name="Af_X11" units="J_per_mol"/>
        <variable name="Ar_X11" units="J_per_mol"/>
        <variable name="v_X11" units="fmol_per_sec"/>
        <variable name="Af_i00" units="J_per_mol"/>
        <variable name="Ar_i00" units="J_per_mol"/>
        <variable name="v_i00" units="fmol_per_sec"/>
        <variable name="Af_i10" units="J_per_mol"/>
        <variable name="Ar_i10" units="J_per_mol"/>
        <variable name="v_i10" units="fmol_per_sec"/>
        <variable name="Af_i20" units="J_per_mol"/>
        <variable name="Ar_i20" units="J_per_mol"/>
        <variable name="v_i20" units="fmol_per_sec"/>
        <variable name="V_mem" units="volt"/>
        <variable name="I_mem" units="fA"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>V_mem</ci>
                <apply>
                    <divide/>
                    <ci>q_mem_global</ci>
                    <ci>C_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_mem</ci>
                <apply>
                    <times/>
                    <ci>F</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <plus/>
                                    <apply>
                                        <minus/>
                                        <apply>
                                            <plus/>
                                            <apply>
                                                <minus/>
                                                <apply>
                                                    <plus/>
                                                    <apply>
                                                        <minus/>
                                                        <apply>
                                                            <plus/>
                                                            <apply>
                                                                <minus/>
                                                                <apply>
                                                                    <plus/>
                                                                    <apply>
                                                                        <minus/>
                                                                        <apply>
                                                                            <plus/>
                                                                            <apply>
                                                                                <times/>
                                                                                <apply>
                                                                                    <minus/>
                                                                                    <ci>zK</ci>
                                                                                </apply>
                                                                                <ci>v_K</ci>
                                                                            </apply>
                                                                            <apply>
                                                                                <times/>
                                                                                <ci>z_rXi</ci>
                                                                                <ci>v_i10</ci>
                                                                            </apply>
                                                                        </apply>
                                                                        <apply>
                                                                            <times/>
                                                                            <ci>z_fXi</ci>
                                                                            <ci>v_i10</ci>
                                                                        </apply>
                                                                    </apply>
                                                                    <apply>
                                                                        <times/>
                                                                        <ci>z_rXi</ci>
                                                                        <ci>v_i00</ci>
                                                                    </apply>
                                                                </apply>
                                                                <apply>
                                                                    <times/>
                                                                    <ci>z_fXi</ci>
                                                                    <ci>v_i00</ci>
                                                                </apply>
                                                            </apply>
                                                            <apply>
                                                                <times/>
                                                                <ci>z_rX</ci>
                                                                <ci>v_X10</ci>
                                                            </apply>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>z_fX</ci>
                                                            <ci>v_X10</ci>
                                                        </apply>
                                                    </apply>
                                                    <apply>
                                                        <times/>
                                                        <ci>z_rX</ci>
                                                        <ci>v_X00</ci>
                                                    </apply>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>z_fX</ci>
                                                    <ci>v_X00</ci>
                                                </apply>
                                            </apply>
                                            <apply>
                                                <times/>
                                                <ci>z_rXi</ci>
                                                <ci>v_i20</ci>
                                            </apply>
                                        </apply>
                                        <apply>
                                            <times/>
                                            <ci>z_fXi</ci>
                                            <ci>v_i20</ci>
                                        </apply>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>z_rX</ci>
                                        <ci>v_X11</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>z_fX</ci>
                                    <ci>v_X11</ci>
                                </apply>
                            </apply>
                            <apply>
                                <times/>
                                <ci>z_rX</ci>
                                <ci>v_X01</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>z_fX</ci>
                            <ci>v_X01</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ke</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ke</ci>
                            <ci>x_Ke_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ki</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ki</ci>
                            <ci>x_Ki_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S00_K</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_00_K</ci>
                            <ci>x_S00_K_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S01_K</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_01_K</ci>
                            <ci>x_S01_K_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S10_K</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_10_K</ci>
                            <ci>x_S10_K_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S11_K</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_11_K</ci>
                            <ci>x_S11_K_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S20_K</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_20_K</ci>
                            <ci>x_S20_K_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S21_K</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_21_K</ci>
                            <ci>x_S21_K_global</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_K</ci>
                <apply>
                    <times/>
                    <ci>kappa_K</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_K</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_K</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_X00</ci>
                <apply>
                    <times/>
                    <ci>kappa_X00</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_X00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_X00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_X01</ci>
                <apply>
                    <times/>
                    <ci>kappa_X01</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_X01</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_X01</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_X10</ci>
                <apply>
                    <times/>
                    <ci>kappa_X10</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_X10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_X10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_X11</ci>
                <apply>
                    <times/>
                    <ci>kappa_X11</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_X11</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_X11</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_i00</ci>
                <apply>
                    <times/>
                    <ci>kappa_i00</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_i00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_i00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_i10</ci>
                <apply>
                    <times/>
                    <ci>kappa_i10</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_i10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_i10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_i20</ci>
                <apply>
                    <times/>
                    <ci>kappa_i20</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_i20</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_i20</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_K</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ki</ci>
                    <apply>
                        <times/>
                        <ci>zK</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                    <ci>mu_S21_K</ci>
                    <apply>
                        <times/>
                        <ci>nK</ci>
                        <ci>mu_Ke</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_X00</ci>
                <apply>
                    <plus/>
                    <ci>mu_S00_K</ci>
                    <apply>
                        <times/>
                        <ci>z_fX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_X01</ci>
                <apply>
                    <plus/>
                    <ci>mu_S01_K</ci>
                    <apply>
                        <times/>
                        <ci>z_fX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_X10</ci>
                <apply>
                    <plus/>
                    <ci>mu_S10_K</ci>
                    <apply>
                        <times/>
                        <ci>z_fX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_X11</ci>
                <apply>
                    <plus/>
                    <ci>mu_S11_K</ci>
                    <apply>
                        <times/>
                        <ci>z_fX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_i00</ci>
                <apply>
                    <plus/>
                    <ci>mu_S00_K</ci>
                    <apply>
                        <times/>
                        <ci>z_fXi</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_i10</ci>
                <apply>
                    <plus/>
                    <ci>mu_S10_K</ci>
                    <apply>
                        <times/>
                        <ci>z_fXi</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_i20</ci>
                <apply>
                    <plus/>
                    <ci>mu_S20_K</ci>
                    <apply>
                        <times/>
                        <ci>z_fXi</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Am_K</ci>
                <apply>
                    <times/>
                    <ci>zK</ci>
                    <apply>
                        <times/>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_K</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ke</ci>
                    <ci>mu_S21_K</ci>
                    <apply>
                        <times/>
                        <ci>nK</ci>
                        <ci>mu_Ke</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_X00</ci>
                <apply>
                    <plus/>
                    <ci>mu_S10_K</ci>
                    <apply>
                        <times/>
                        <ci>z_rX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_X01</ci>
                <apply>
                    <plus/>
                    <ci>mu_S11_K</ci>
                    <apply>
                        <times/>
                        <ci>z_rX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_X10</ci>
                <apply>
                    <plus/>
                    <ci>mu_S20_K</ci>
                    <apply>
                        <times/>
                        <ci>z_rX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_X11</ci>
                <apply>
                    <plus/>
                    <ci>mu_S21_K</ci>
                    <apply>
                        <times/>
                        <ci>z_rX</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_i00</ci>
                <apply>
                    <plus/>
                    <ci>mu_S01_K</ci>
                    <apply>
                        <times/>
                        <ci>z_rXi</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_i10</ci>
                <apply>
                    <plus/>
                    <ci>mu_S11_K</ci>
                    <apply>
                        <times/>
                        <ci>z_rXi</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_i20</ci>
                <apply>
                    <plus/>
                    <ci>mu_S21_K</ci>
                    <apply>
                        <times/>
                        <ci>z_rXi</ci>
                        <apply>
                            <times/>
                            <ci>F</ci>
                            <ci>V_mem</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Ke</ci>
                <apply>
                    <minus/>
                    <ci>v_K</ci>
                    <apply>
                        <times/>
                        <ci>nK</ci>
                        <apply>
                            <minus/>
                            <ci>v_K</ci>
                            <ci>v_K</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Ki</ci>
                <apply>
                    <minus/>
                    <ci>v_K</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_S00_K</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_X00</ci>
                        <ci>v_i00</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_S01_K</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_X01</ci>
                    </apply>
                    <ci>v_i00</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_S10_K</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_X00</ci>
                        <ci>v_X10</ci>
                    </apply>
                    <ci>v_i10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_S11_K</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_X01</ci>
                        <ci>v_X11</ci>
                    </apply>
                    <ci>v_i10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_S20_K</ci>
                <apply>
                    <minus/>
                    <ci>v_X10</ci>
                    <ci>v_i20</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_S21_K</ci>
                <apply>
                    <plus/>
                    <ci>v_X11</ci>
                    <apply>
                        <minus/>
                        <ci>v_i20</ci>
                        <apply>
                            <minus/>
                            <ci>v_K</ci>
                            <ci>v_K</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_Ke</ci>
                </apply>
                <ci>v_Ke</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_Ki</ci>
                </apply>
                <ci>v_Ki</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_S00_K</ci>
                </apply>
                <ci>v_S00_K</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_S01_K</ci>
                </apply>
                <ci>v_S01_K</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_S10_K</ci>
                </apply>
                <ci>v_S10_K</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_S11_K</ci>
                </apply>
                <ci>v_S11_K</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_S20_K</ci>
                </apply>
                <ci>v_S20_K</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_S21_K</ci>
                </apply>
                <ci>v_S21_K</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_mem</ci>
                </apply>
                <ci>I_mem</ci>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="K_channel" component_2="K_parameters"/>
        <map_variables variable_1="K_00_K" variable_2="K_00_K"/>
        <map_variables variable_1="K_01_K" variable_2="K_01_K"/>
        <map_variables variable_1="K_10_K" variable_2="K_10_K"/>
        <map_variables variable_1="K_11_K" variable_2="K_11_K"/>
        <map_variables variable_1="K_20_K" variable_2="K_20_K"/>
        <map_variables variable_1="K_21_K" variable_2="K_21_K"/>
        <map_variables variable_1="K_Ke" variable_2="K_Ke"/>
        <map_variables variable_1="K_Ki" variable_2="K_Ki"/>
        <map_variables variable_1="kappa_K" variable_2="kappa_K"/>
        <map_variables variable_1="kappa_X00" variable_2="kappa_X00"/>
        <map_variables variable_1="kappa_X01" variable_2="kappa_X01"/>
        <map_variables variable_1="kappa_X10" variable_2="kappa_X10"/>
        <map_variables variable_1="kappa_X11" variable_2="kappa_X11"/>
        <map_variables variable_1="kappa_i00" variable_2="kappa_i00"/>
        <map_variables variable_1="kappa_i10" variable_2="kappa_i10"/>
        <map_variables variable_1="kappa_i20" variable_2="kappa_i20"/>
        <map_variables variable_1="nK" variable_2="nK"/>
        <map_variables variable_1="zK" variable_2="zK"/>
        <map_variables variable_1="z_fX" variable_2="z_fX"/>
        <map_variables variable_1="z_fXi" variable_2="z_fXi"/>
        <map_variables variable_1="z_rX" variable_2="z_rX"/>
        <map_variables variable_1="z_rXi" variable_2="z_rXi"/>
    </connection>
    <connection>
        <map_components component_1="K_channel" component_2="environment"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="F" variable_2="F"/>
        <map_variables variable_1="C_m" variable_2="C_m"/>
        <map_variables variable_1="x_Ke_global" variable_2="x_Ke"/>
        <map_variables variable_1="x_Ke" variable_2="x_Ke_mK"/>
        <map_variables variable_1="x_Ki_global" variable_2="x_Ki"/>
        <map_variables variable_1="x_Ki" variable_2="x_Ki_mK"/>
        <map_variables variable_1="x_S00_K_global" variable_2="x_S00_K"/>
        <map_variables variable_1="x_S00_K" variable_2="x_S00_K_mK"/>
        <map_variables variable_1="x_S01_K_global" variable_2="x_S01_K"/>
        <map_variables variable_1="x_S01_K" variable_2="x_S01_K_mK"/>
        <map_variables variable_1="x_S10_K_global" variable_2="x_S10_K"/>
        <map_variables variable_1="x_S10_K" variable_2="x_S10_K_mK"/>
        <map_variables variable_1="x_S11_K_global" variable_2="x_S11_K"/>
        <map_variables variable_1="x_S11_K" variable_2="x_S11_K_mK"/>
        <map_variables variable_1="x_S20_K_global" variable_2="x_S20_K"/>
        <map_variables variable_1="x_S20_K" variable_2="x_S20_K_mK"/>
        <map_variables variable_1="x_S21_K_global" variable_2="x_S21_K"/>
        <map_variables variable_1="x_S21_K" variable_2="x_S21_K_mK"/>
        <map_variables variable_1="q_mem_global" variable_2="q_mem"/>
        <map_variables variable_1="q_mem" variable_2="q_mem_mK"/>
    </connection>
</model>